Search a number
-
+
1346808640 = 26531137991
BaseRepresentation
bin101000001000110…
…1010101101000000
310110212020222010111
41100101222231000
510224240334030
6341350441104
745242453542
oct12021525500
93425228114
101346808640
116312692a1
12317063194
131860468b8
14cac27692
157d38962a
hex5046ab40

1346808640 has 112 divisors (see below), whose sum is σ = 3338072064. Its totient is φ = 517017600.

The previous prime is 1346808613. The next prime is 1346808647. The reversal of 1346808640 is 468086431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1346808593 and 1346808602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346808647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358545 + ... + 1359535.

Almost surely, 21346808640 is an apocalyptic number.

1346808640 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 1346808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669036032).

1346808640 is an abundant number, since it is smaller than the sum of its proper divisors (1991263424).

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

1346808640 is a wasteful number, since it uses less digits than its factorization.

1346808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 1346808640 is about 36698.8915363938. The cubic root of 1346808640 is about 1104.3378683028.

The spelling of 1346808640 in words is "one billion, three hundred forty-six million, eight hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 137 155 160 248 274 310 320 496 548 620 685 991 992 1096 1240 1370 1982 1984 2192 2480 2740 3964 4247 4384 4955 4960 5480 7928 8494 8768 9910 9920 10960 15856 16988 19820 21235 21920 30721 31712 33976 39640 42470 43840 61442 63424 67952 79280 84940 122884 135767 135904 153605 158560 169880 245768 271534 271808 307210 317120 339760 491536 543068 614420 678835 679520 983072 1086136 1228840 1357670 1359040 1966144 2172272 2457680 2715340 4208777 4344544 4915360 5430680 8417554 8689088 9830720 10861360 16835108 21043885 21722720 33670216 42087770 43445440 67340432 84175540 134680864 168351080 269361728 336702160 673404320 1346808640