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34301040 = 24351311091
BaseRepresentation
bin1000001011011…
…0010001110000
32101112200011220
42002312101300
532240113130
63223105040
7564361014
oct202662160
971480156
1034301040
11183a8974
12b5a2180
13714c897
1447ac544
153028410
hex20b6470

34301040 has 80 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 9068800.

The previous prime is 34301039. The next prime is 34301063. The reversal of 34301040 is 4010343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×343010402 = 2353122690163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30895 + ... + 31985.

Almost surely, 234301040 is an apocalyptic number.

34301040 is a gapful number since it is divisible by the number (30) 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 34301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

34301040 is an abundant number, since it is smaller than the sum of its proper divisors (72942096).

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

34301040 is a wasteful number, since it uses less digits than its factorization.

34301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34301040 is about 5856.7089734765. The cubic root of 34301040 is about 324.9145021649.

Adding to 34301040 its reverse (4010343), we get a palindrome (38311383).

The spelling of 34301040 in words is "thirty-four million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1091 1310 1572 1965 2096 2182 2620 3144 3273 3930 4364 5240 5455 6288 6546 7860 8728 10480 10910 13092 15720 16365 17456 21820 26184 31440 32730 43640 52368 65460 87280 130920 142921 261840 285842 428763 571684 714605 857526 1143368 1429210 1715052 2143815 2286736 2858420 3430104 4287630 5716840 6860208 8575260 11433680 17150520 34301040