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1335244240 = 2451183101181
BaseRepresentation
bin100111110010110…
…0011010111010000
310110001111102202101
41033211203113100
510213310303430
6340254530144
745042250231
oct11745432720
93401442671
101335244240
1162578a840
12313206954
13183827c65
14c9497088
157c352dca
hex4f9635d0

1335244240 has 160 divisors (see below), whose sum is σ = 3480527232. Its totient is φ = 472320000.

The previous prime is 1335244201. The next prime is 1335244249. The reversal of 1335244240 is 424425331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1335244199 and 1335244208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335244249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7376950 + ... + 7377130.

Almost surely, 21335244240 is an apocalyptic number.

1335244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1335244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740263616).

1335244240 is an abundant number, since it is smaller than the sum of its proper divisors (2145282992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1335244240 is a wasteful number, since it uses less digits than its factorization.

1335244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 1335244240 is about 36540.9939656819. The cubic root of 1335244240 is about 1101.1679715391.

Adding to 1335244240 its reverse (424425331), we get a palindrome (1759669571).

It can be divided in two parts, 13 and 35244240, that added together give a palindrome (35244253).

The spelling of 1335244240 in words is "one billion, three hundred thirty-five million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 101 110 166 176 181 202 220 332 362 404 415 440 505 664 724 808 830 880 905 913 1010 1111 1328 1448 1616 1660 1810 1826 1991 2020 2222 2896 3320 3620 3652 3982 4040 4444 4565 5555 6640 7240 7304 7964 8080 8383 8888 9130 9955 11110 14480 14608 15023 15928 16766 17776 18260 18281 19910 22220 30046 31856 33532 36520 36562 39820 41915 44440 60092 67064 73040 73124 75115 79640 83830 88880 91405 92213 120184 134128 146248 150230 159280 165253 167660 182810 184426 201091 240368 292496 300460 330506 335320 365620 368852 402182 461065 600920 661012 670640 731240 737704 804364 826265 922130 1005455 1201840 1322024 1462480 1475408 1517323 1608728 1652530 1844260 2010910 2644048 3034646 3217456 3305060 3688520 4021820 6069292 6610120 7377040 7586615 8043640 12138584 13220240 15173230 16087280 16690553 24277168 30346460 33381106 60692920 66762212 83452765 121385840 133524424 166905530 267048848 333811060 667622120 1335244240