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3450421520 = 2457133115289
BaseRepresentation
bin1100110110101001…
…0100000100010000
322220110120120111122
43031222110010100
524031301442040
61330214301412
7151335045650
oct31552240420
98813516448
103450421520
111510744837
12803657868
1342cacb050
1424a374360
15152db71b5
hexcda94110

3450421520 has 160 divisors (see below), whose sum is σ = 10192680960. Its totient is φ = 1056706560.

The previous prime is 3450421511. The next prime is 3450421531. The reversal of 3450421520 is 251240543.

It is a happy number.

It is a super-2 number, since 2×34504215202 = 23810817331358220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3450421520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218036 + ... + 233324.

It is an arithmetic number, because the mean of its divisors is an integer number (63704256).

Almost surely, 23450421520 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 3450421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096340480).

3450421520 is an abundant number, since it is smaller than the sum of its proper divisors (6742259440).

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

3450421520 is a wasteful number, since it uses less digits than its factorization.

3450421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 3450421520 is about 58740.2887292870. The cubic root of 3450421520 is about 1511.0913444326.

The spelling of 3450421520 in words is "three billion, four hundred fifty million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 182 208 217 248 260 280 310 364 403 434 455 496 520 560 620 728 806 868 910 1040 1085 1240 1456 1612 1736 1820 2015 2170 2480 2821 3224 3472 3640 4030 4340 5642 6448 7280 8060 8680 11284 14105 15289 16120 17360 22568 28210 30578 32240 45136 56420 61156 76445 107023 112840 122312 152890 198757 214046 225680 244624 305780 397514 428092 473959 535115 611560 795028 856184 947918 993785 1070230 1223120 1391299 1590056 1712368 1895836 1987570 2140460 2369795 2782598 3180112 3317713 3791672 3975140 4280920 4739590 5565196 6161467 6635426 6956495 7583344 7950280 8561840 9479180 11130392 12322934 13270852 13912990 15900560 16588565 18958360 22260784 24645868 26541704 27825980 30807335 33177130 37916720 43130269 49291736 53083408 55651960 61614670 66354260 86260538 98583472 111303920 123229340 132708520 172521076 215651345 246458680 265417040 345042152 431302690 492917360 690084304 862605380 1725210760 3450421520