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3742396740 = 2232593722189
BaseRepresentation
bin1101111100010000…
…0111000101000100
3100122210222110012200
43133010013011010
530131023143430
61415204314500
7161511563445
oct33704070504
910583873180
103742396740
111650538075
128853a2a30
13478449354
142770592cc
1516d83d460
hexdf107144

3742396740 has 72 divisors (see below), whose sum is σ = 11364564120. Its totient is φ = 996862464.

The previous prime is 3742396739. The next prime is 3742396741. The reversal of 3742396740 is 476932473.

3742396740 is a `hidden beast` number, since 374 + 239 + 6 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3742396739) and next prime (3742396741).

It can be written as a sum of positive squares in 4 ways, for example, as 63489024 + 3678907716 = 7968^2 + 60654^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3742396741) 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, 157566 + ... + 179754.

Almost surely, 23742396740 is an apocalyptic number.

3742396740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3742396740 is an abundant number, since it is smaller than the sum of its proper divisors (7622167380).

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

3742396740 is a wasteful number, since it uses less digits than its factorization.

3742396740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23141 (or 23136 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3742396740 is about 61175.1317121590. The cubic root of 3742396740 is about 1552.5655382416.

The spelling of 3742396740 in words is "three billion, seven hundred forty-two million, three hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 937 1874 2811 3748 4685 5622 8433 9370 11244 14055 16866 18740 22189 28110 33732 42165 44378 56220 66567 84330 88756 110945 133134 168660 199701 221890 266268 332835 399402 443780 665670 798804 998505 1331340 1997010 3994020 20791093 41582186 62373279 83164372 103955465 124746558 187119837 207910930 249493116 311866395 374239674 415821860 623732790 748479348 935599185 1247465580 1871198370 3742396740