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31442000340 = 2235598881921
BaseRepresentation
bin11101010010000101…
…101101100111010100
310000011020200002222010
4131102011231213110
51003343123002330
622235543104220
72162106410322
oct352205554724
9100136602863
1031442000340
111237520a253
126115a42070
132c7105aa3a
141743b70d12
15c405183b0
hex75216d9d4

31442000340 has 48 divisors (see below), whose sum is σ = 89529773760. Its totient is φ = 8242421760.

The previous prime is 31442000297. The next prime is 31442000347. The reversal of 31442000340 is 4300024413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442000347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4437421 + ... + 4444500.

It is an arithmetic number, because the mean of its divisors is an integer number (1865203620).

Almost surely, 231442000340 is an apocalyptic number.

31442000340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31442000340 is an abundant number, since it is smaller than the sum of its proper divisors (58087773420).

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

31442000340 is a wasteful number, since it uses less digits than its factorization.

31442000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881992 (or 8881990 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 31442000340 its reverse (4300024413), we get a palindrome (35742024753).

The spelling of 31442000340 in words is "thirty-one billion, four hundred forty-two million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 8881921 17763842 26645763 35527684 44409605 53291526 88819210 106583052 133228815 177638420 266457630 524033339 532915260 1048066678 1572100017 2096133356 2620166695 3144200034 5240333390 6288400068 7860500085 10480666780 15721000170 31442000340