Search a number
-
+
30897349600 = 2552138393541
BaseRepresentation
bin11100110001101000…
…000010001111100000
32221202021210222121111
4130301220002033200
51001234210141400
622105525233104
72142444065305
oct346150021740
987667728544
1030897349600
1112115826077
125ba3562794
132bb52712b0
1416d16b50ac
15c0c7d03ba
hex731a023e0

30897349600 has 144 divisors (see below), whose sum is σ = 81350105760. Its totient is φ = 11391436800.

The previous prime is 30897349591. The next prime is 30897349603. The reversal of 30897349600 is 694379803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30897349603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8723830 + ... + 8727370.

It is an arithmetic number, because the mean of its divisors is an integer number (564931290).

Almost surely, 230897349600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30897349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40675052880).

30897349600 is an abundant number, since it is smaller than the sum of its proper divisors (50452756160).

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

30897349600 is a wasteful number, since it uses less digits than its factorization.

30897349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 30897349600 in words is "thirty billion, eight hundred ninety-seven million, three hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 839 1040 1300 1678 2080 2600 3356 3541 4195 5200 6712 7082 8390 10400 10907 13424 14164 16780 17705 20975 21814 26848 28328 33560 35410 41950 43628 46033 54535 56656 67120 70820 83900 87256 88525 92066 109070 113312 134240 141640 167800 174512 177050 184132 218140 230165 272675 283280 335600 349024 354100 368264 436280 460330 545350 566560 671200 708200 736528 872560 920660 1090700 1150825 1416400 1473056 1745120 1841320 2181400 2301650 2832800 2970899 3682640 4362800 4603300 5941798 7365280 8725600 9206600 11883596 14854495 18413200 23767192 29708990 36826400 38621687 47534384 59417980 74272475 77243374 95068768 118835960 148544950 154486748 193108435 237671920 297089900 308973496 386216870 475343840 594179800 617946992 772433740 965542175 1188359600 1235893984 1544867480 1931084350 2376719200 3089734960 3862168700 6179469920 7724337400 15448674800 30897349600