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30038037400 = 235271512941
BaseRepresentation
bin11011111110011010…
…000001001110011000
32212112101212101212201
4123332122001032120
5443004214144100
621444351215544
72112241051030
oct337632011630
985471771781
1030038037400
11118147640a8
1259a38175b4
132aa9222537
14164d50a8c0
15bac13e36a
hex6fe681398

30038037400 has 144 divisors (see below), whose sum is σ = 80432820720. Its totient is φ = 10219680000.

The previous prime is 30038037377. The next prime is 30038037457. The reversal of 30038037400 is 473083003.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31920930 + ... + 31921870.

It is an arithmetic number, because the mean of its divisors is an integer number (558561255).

Almost surely, 230038037400 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 30038037400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216410360).

30038037400 is an abundant number, since it is smaller than the sum of its proper divisors (50394783320).

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

30038037400 is a wasteful number, since it uses less digits than its factorization.

30038037400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 30038037400 in words is "thirty billion, thirty-eight million, thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 151 175 200 280 302 350 604 700 755 941 1057 1208 1400 1510 1882 2114 3020 3764 3775 4228 4705 5285 6040 6587 7528 7550 8456 9410 10570 13174 15100 18820 21140 22801 23525 26348 26425 30200 32935 37640 42280 45602 47050 52696 52850 65870 91204 94100 105700 114005 131740 142091 159607 164675 182408 188200 211400 228010 263480 284182 319214 329350 456020 568364 570025 638428 658700 710455 798035 912040 994637 1136728 1140050 1276856 1317400 1420910 1596070 1989274 2280100 2841820 3192140 3552275 3978548 3990175 4560200 4973185 5683640 6384280 7104550 7957096 7980350 9946370 14209100 15960700 19892740 21455741 24865925 28418200 31921400 39785480 42911482 49731850 85822964 99463700 107278705 150190187 171645928 198927400 214557410 300380374 429114820 536393525 600760748 750950935 858229640 1072787050 1201521496 1501901870 2145574100 3003803740 3754754675 4291148200 6007607480 7509509350 15019018700 30038037400