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31301040 = 2435413181
BaseRepresentation
bin111011101100…
…1110110110000
32011220020221210
41313121312300
531003113130
63034520120
7530024451
oct167316660
964806853
1031301040
1116739a31
12a596040
13663c234
14422b128
152b345b0
hex1dd9db0

31301040 has 80 divisors (see below), whose sum is σ = 99431136. Its totient is φ = 8140800.

The previous prime is 31301021. The next prime is 31301057. The reversal of 31301040 is 4010313.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8250 + ... + 11430.

Almost surely, 231301040 is an apocalyptic number.

31301040 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 31301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49715568).

31301040 is an abundant number, since it is smaller than the sum of its proper divisors (68130096).

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

31301040 is a wasteful number, since it uses less digits than its factorization.

31301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31301040 is about 5594.7332376084. The cubic root of 31301040 is about 315.1516528524.

Adding to 31301040 its reverse (4010313), we get a palindrome (35311353).

The spelling of 31301040 in words is "thirty-one million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3181 3280 4920 6362 9543 9840 12724 15905 19086 25448 31810 38172 47715 50896 63620 76344 95430 127240 130421 152688 190860 254480 260842 381720 391263 521684 652105 763440 782526 1043368 1304210 1565052 1956315 2086736 2608420 3130104 3912630 5216840 6260208 7825260 10433680 15650520 31301040