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30523524240 = 24351131736473
BaseRepresentation
bin11100011011010110…
…000000010010010000
32220210020101200121210
4130123112000102100
51000003010233430
622004453020120
72130254450406
oct343326002220
986706350553
1030523524240
1111a438085a0
125aba324640
132b55995761
141697ba5476
15bd9a8c2b0
hex71b580490

30523524240 has 160 divisors (see below), whose sum is σ = 103553479296. Its totient is φ = 7376097280.

The previous prime is 30523524233. The next prime is 30523524257. The reversal of 30523524240 is 4242532503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30523524198 and 30523524207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818644 + ... + 855116.

Almost surely, 230523524240 is an apocalyptic number.

30523524240 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 30523524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51776739648).

30523524240 is an abundant number, since it is smaller than the sum of its proper divisors (73029955056).

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

30523524240 is a wasteful number, since it uses less digits than its factorization.

30523524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36817 (or 36811 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 30523524240 in words is "thirty billion, five hundred twenty-three million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 317 330 440 528 634 660 880 951 1268 1320 1585 1902 2536 2640 3170 3487 3804 4755 5072 6340 6974 7608 9510 10461 12680 13948 15216 17435 19020 20922 25360 27896 34870 36473 38040 41844 52305 55792 69740 72946 76080 83688 104610 109419 139480 145892 167376 182365 209220 218838 278960 291784 364730 401203 418440 437676 547095 583568 729460 802406 836880 875352 1094190 1203609 1458920 1604812 1750704 2006015 2188380 2407218 2917840 3209624 4012030 4376760 4814436 6018045 6419248 8024060 8753520 9628872 11561941 12036090 16048120 19257744 23123882 24072180 32096240 34685823 46247764 48144360 57809705 69371646 92495528 96288720 115619410 127181351 138743292 173429115 184991056 231238820 254362702 277486584 346858230 381544053 462477640 508725404 554973168 635906755 693716460 763088106 924955280 1017450808 1271813510 1387432920 1526176212 1907720265 2034901616 2543627020 2774865840 3052352424 3815440530 5087254040 6104704848 7630881060 10174508080 15261762120 30523524240