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37430039340 = 223251712232039
BaseRepresentation
bin100010110111000000…
…010001001100101100
310120121120020000020100
4202313000101030230
51103124042224330
625110051351100
72463360041061
oct426700211454
9116546200210
1037430039340
1114968310611
1273072b2490
1336b67c9495
141b51148c68
15e9108c060
hex8b701132c

37430039340 has 72 divisors (see below), whose sum is σ = 120216489120. Its totient is φ = 9394205184.

The previous prime is 37430039329. The next prime is 37430039341. The reversal of 37430039340 is 4393003473.

37430039340 is a `hidden beast` number, since 3 + 7 + 4 + 300 + 3 + 9 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37430039295 and 37430039304.

It is not an unprimeable number, because it can be changed into a prime (37430039341) 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, 6112960 + ... + 6119079.

It is an arithmetic number, because the mean of its divisors is an integer number (1669673460).

Almost surely, 237430039340 is an apocalyptic number.

37430039340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37430039340 is an abundant number, since it is smaller than the sum of its proper divisors (82786449780).

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

37430039340 is a wasteful number, since it uses less digits than its factorization.

37430039340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232071 (or 12232066 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 37430039340 in words is "thirty-seven billion, four hundred thirty million, thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 12232039 24464078 36696117 48928156 61160195 73392234 110088351 122320390 146784468 183480585 207944663 220176702 244640780 366961170 415889326 440353404 550441755 623833989 733922340 831778652 1039723315 1100883510 1247667978 1871501967 2079446630 2201767020 2495335956 3119169945 3743003934 4158893260 6238339890 7486007868 9357509835 12476679780 18715019670 37430039340