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3375740928 = 21137211213
BaseRepresentation
bin1100100100110101…
…1011100000000000
322201021001101222210
43021031123200000
523403142202203
61314545502120
7146440216200
oct31115334000
98637041883
103375740928
11148257713a
127a2641940
1341a4b0c51
14240494400
1514b564803
hexc935b800

3375740928 has 144 divisors (see below), whose sum is σ = 10470063240. Its totient is φ = 964411392.

The previous prime is 3375740923. The next prime is 3375741011. The reversal of 3375740928 is 8290475733.

It is a super-2 number, since 2×33757409282 = 22791253625948602368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375740923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295450 + ... + 306662.

Almost surely, 23375740928 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 3375740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235031620).

3375740928 is an abundant number, since it is smaller than the sum of its proper divisors (7094322312).

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

3375740928 is a wasteful number, since it uses less digits than its factorization.

3375740928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11252 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 3375740928 is about 58101.1267360625. The cubic root of 3375740928 is about 1500.1097590795.

The spelling of 3375740928 in words is "three billion, three hundred seventy-five million, seven hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4704 5376 6144 6272 7168 9408 10752 11213 12544 14336 18816 21504 22426 25088 33639 37632 43008 44852 50176 67278 75264 78491 89704 100352 134556 150528 156982 179408 235473 269112 301056 313964 358816 470946 538224 549437 627928 717632 941892 1076448 1098874 1255856 1435264 1648311 1883784 2152896 2197748 2511712 2870528 3296622 3767568 4305792 4395496 5023424 5741056 6593244 7535136 8611584 8790992 10046848 11482112 13186488 15070272 17223168 17581984 20093696 22964224 26372976 30140544 34446336 35163968 40187392 52745952 60281088 68892672 70327936 80374784 105491904 120562176 140655872 160749568 210983808 241124352 281311744 421967616 482248704 562623488 843935232 1125246976 1687870464 3375740928